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Solve some math problems
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1. Xiaoping's height 147 cm, Xiaoqing is shorter than Xiaoping 1/7. How many centimeters is Xiaoqing tall?

2. A city sports meeting needs 752 gold medals as planned. In order to leave room, 865,438+00 gold medals were awarded, which was more than what percentage? (Keep one decimal place before the percent sign. )

3. A project, originally planned to invest 21100 million yuan, saved 4.02 billion yuan due to the strong support from all walks of life. The actual investment is 50% of the original plan?

Guangming Shoes Factory actually produced 27,500 pairs of shoes in July, 2,500 more than originally planned. What percentage has the output increased?

5. A factory actually produced 5040 parts in April, 12% more than planned. How many parts were originally planned to be produced?

6. A canal was built for 5.7 kilometers, leaving 1.8 kilometers. What is the percentage of the total repair length?

7.8.5 tons in a pile of coal, accounting for 17% of this pile of coal. How many tons is 5% of this pile of coal?

8. The total output of wheat in Zhangzhuang the year before last was 2 1 10,000 kg, an increase of 10% over the previous year. What was the total output of wheat last year?

9. During the Seventh Five-Year Plan period, the national average annual output of TV sets was 22.65 million, and during the Sixth Five-Year Plan period, it was 8.97 million. Seek growth rate. (Keep one decimal place before the percent sign. )

10. Yangzhuang's rapeseed output was 8.4 tons the year before, and last year's rapeseed output increased by 25%. If the oil yield of rapeseed is 42%, how many tons of rapeseed can be squeezed out last year? "

1 1. There are 30 students in Class A of Grade 6 who meet the national physical exercise standards, accounting for 60% of the students in this class. How many people in this class are not up to standard?

12. A factory burned 3500 tons of coal in June 65438+ 10, saving 500 tons compared with the original plan. What percentage was saved?

13. There are 84 students in Peiying Primary School who participated in the math interest group, but now the number has increased by 25%, and 20% of these students won the prize in the math competition. Number of people seeking rewards.

14. Uncle Jin remitted money to 60 yuan, and the remittance fee went to 0.6 yuan. What is the exchange rate? How much does it cost to remit money to 60 yuan?

15. The paper mill completed 45% of the annual paper-making task in the first five months of this year, and the annual production task can be completed by reproducing 1650 tons. How many tons of paper do you plan to produce this year?

16. In the first half of this year, the central shopping mall paid 3.48 million yuan in national profits and taxes, completing 3/5 of the annual plan. According to this calculation, we can complete the task of paying profits and taxes for the whole year several months ahead of schedule.

17. There are three kinds of books in the school library. Known picture books 100, few literature books15, and 25% more science and technology books. How many books are there in three kinds of books?

18. Shucai Company delivered two cars of green peppers. The first car has 1750kg. It is known that 1/7 of the weight of the first car is equal to 1/5 of the weight of the second car. How many Jin of green peppers did the two cars send?

19. The ceramic factory wants to produce a batch of tea cups. It was originally planned to produce 750 teacups every day and finish them in 20 days. The actual daily output is more than the original planned daily output 1/3. How many days can you actually complete the task?

20. The actual investment in expanding a school building is 1.88 million yuan, which is1.20 million yuan less than the original plan. What percentage was saved?

2 1. An engineering team built a road. On the first day, 3/ 10 of the total length was repaired, and on the second day, 40% of the total length was repaired, leaving 63 meters untreated. How long is this road?

22. Fruit shops have 1, 250kg of citrus, apples are 9/ 10 of citrus, and bananas are 3/5 of apples. How many kilograms of bananas are there in the fruit shop?

23. There are 3,800 ducks and more than 200 Abby Mallard chickens13 in the freezer of Limin Food Company. How many chickens and ducks are there in the freezer?

24。 In a primary school, 240 people participated in the sports meeting, 2/5 participated in the track race, 50% participated in the track race, and the rest participated in the cheerleading. How many people join the cheerleading team?

25. The power supply bureau repairs a section of the line, with an average of1.200m per day, and it takes 18 days to complete. If the work efficiency is improved by 20%, how many days can it be completed?

26. A canal was dug for the first time by 0.3 km, which was 0. 1 km less than the second time. What is the dry rice with a total length of 2 1% in these two digs? How long is this canal?

When a car stops at a station, 20% of the passengers get off, but five people get on. At this time, there are three fewer passengers on the bus than the original passengers. How many passengers are there in the car?

28. A street paved with water pipes has been paved for 5/9 of the total length, and the rest is 2/9 kilometers less than that already paved. Find out the total length of water pipes in this street.

29. Master Zhang plans to process 800 parts in 5 hours, and 70 parts are processed in 2 1 minute in actual production. According to this calculation, what percentage can the output increase within the planned time?

30. A rectangular piece of land is 90 meters long and13 wide. What is the area of this land in square meters?

3 1. Oriental TV Factory completed 3/5 of this month's plan in the first half of April and produced 3,600 TV sets in the second half of April. As a result, the whole month exceeded the plan by 8%. How many TV sets were overproduced in April?

32. Xiaoming has two stamp albums. One has 360 stamps, which is 3/4 of the number of the second stamp. How many stamps are there in Book B than in Book A?

33. Cars A and B leave from two places 405 dry meters apart at the same time, and meet after 4 hours and 1/2 hours respectively. Car A travels more than car B per hour 1/4. How many kilometers do A and B run per hour?

34. Two trains leave from two stations at the same time. Car A travels 56 kilometers per hour, which is 7/8 of the speed of car B. After 2.5 hours, the distance between the two cars is still 35 dry meters. How many kilometers is the railway between the two stations?

35. It takes Wang Li 28 minutes to walk from home to school and 8 minutes to ride a bike. One day, he goes to school by bike. After walking for 3 minutes, his bike broke down, so he immediately changed to walking. How many minutes will he be late for the whole trip?

36. Two cars, A and B, leave from two places at the same time. Car A travels 40 kilometers per hour, which is 1/5 higher than car B. After 1.5 hours, the distance traveled is exactly 1/4. How many kilometers are the two places apart?

37. A road repair team planned to complete the road repair task in 8 days, and as a result, it completed 2/5 of the plan in the first 3 days. According to this calculation, how many days in advance can the road construction task be completed?

38. The car travels from A to B, the first day 1/4, and the second day 1/5. At this time, the remaining distance is more than the distance already traveled 120 km. How many dry meters is the remaining distance?

39. Two cars A and B are driving in opposite directions from two places 300 kilometers apart. After 2.5 hours, the difference between them is still 25%. It is also known that car A travels 47 dry meters per hour, and how many kilometers does car B travel per hour?

40. The distance between two cities is 1005 dry meters. A bus and a truck leave from these two cities at the same time. The speed of bus is 60 dry meters per hour, and the speed of truck is 3/4 of that of bus. How many hours after the two cars leave, there is still a distance of 60 kilometers?

4 1. A train from A to B traveled 55 kilometers in the first hour and 1/3 in the second hour, when the train just reached the midpoint between the two places. What's the distance between a and b?

42。 The length of the two wires is 242 meters. Cut the first wire 1/5 and connect it to the second wire 28 meters away. At this point, the lengths of the two wires are equal. How long is the first wire?

43. There are three workshops, A, B and C. The number of people in Workshop A is less than that in Workshop C14, and the number of people in Workshop C is 25% more than that in Workshop B. It is known that there are 90 people in Workshop A, so we need the number of people in Workshop B. ..

44. Xiaohua's age this year is 65438+ 0/4 of his father's age, and his father's age is 3/5 of his grandfather's age. Grandpa is 32 years older than Xiaohua's father. How old is Xiaohua this year?

45. A lead wire uses 3/8 of its total length for the first time, 2.2m for the second time and 5/6 for the second time. How many meters was used for the first time?

46. 1 block of wood, for the first time, 1/3 of the total length was used, and 3.5 meters were thrown away for the second time, and the ratio of the rest to the total length was 1: 4. How many meters are left in this forest?

47. A road repair team built a section of road. On the first day, the total length was 1/5 meters, and on the second day, it was 2/7 of the total length, leaving 53 meters unfinished. How long is this road?

Engineering problems

1. For a project, it takes 15 days for Team A to do it alone, and 20 days for Team B to do it alone. How many days does it take for two teams to work together?

2. It takes 6 hours for Party A to do a job alone, 4 hours for Party B and 3 hours for Party C.. How many hours does it take three people to work together?

3. A pool is equipped with three water pipes, A, B and C. A and B are water inlet pipes and C is water outlet pipe. By opening the first tube, the empty pool can be filled in 2 hours, the second tube can be filled in 3 hours and the third tube can be filled in 4 hours. Three pipes are open at the same time. How long will it take to fill the empty pool?

4. A project can be completed by Party A in 8 days, while Party B can only complete 4/5 of the project in 8 days. If Party A cooperates with Party B, how long will it take to complete the project?

5. Party A will complete a batch of parts within 12 days, and Party B will complete it within 8 days ... Party A and Party B will cooperate for 3 days first, and Party B will complete the rest alone. How many days will it take?

6. The cultural and educational printing house binds a batch of review materials. The master can bind 3/4 in 9 days and the apprentice can bind 5/6 in 20 days. With the cooperation of master and apprentice, how many days can the binding be completed?

7. There is a project. Team a and team b 12 days, team c and team b 20 days, team a and team c 15 days. How many days does it take for Team A, Team B and Team C to work together?

8. For an expressway, if it takes 30 days for Team A to repair it, it will take 5 days for Team B to complete 1/4 of this expressway. After three days of joint repair by team A and team B, the rest was completed by team B alone. How many days will it take to complete the repair?

9. Party A will finish a project in 9 days, and Party B will finish it in 6 days ... After doing it alone for 4 days, B and A will do it together. How many days will it take to complete?

10. A project can be completed in 10 days, with 8 days for both parties and 5 days for Party B alone. How many days will it take if B does this project alone?

Ask questions by comparing examples

1 1. The school allocated the task of planting 270 trees to the sixth and fifth grades according to 5: 4. How many trees were planted in Grade 6 and Grade 5 respectively?

12. mercuric chloride is made of mercuric chloride and distilled water in the ratio of 1: 50. How many kilograms of mercuric chloride and distilled water do you need to make 3.06 kilograms of mercuric chloride?

13. Yongning township has a piece of cultivated land of 4.5 hectares. The area ratio of grain crops, cash crops and oil crops is 9: 4: 2. How many hectares of triple cropping crops have been planted?

14. The school bought 165 bottles of red, blue and black ink with a ratio of 6: 5: 4. How many bottles of red, blue and black ink did you buy?

15. Three kinds of vegetables were put on the market * * * 8500 kg, including 4300 kg of green vegetables. The ratio of celery to spinach is 9: 6. How many kilograms of celery and spinach were delivered respectively?

16. The ratio of the degrees of the three internal angles of a triangle is 1: 3: 5. Find the degree of each inner angle of this triangle and explain what triangle it is.

17.96 cm long wire forms a triangle. The ratio of the lengths of the three sides of a triangle is 3: 4: 5. What are the lengths of the three sides?

Fraction problem

1. A road maintenance team built a road with a total length of 1/3 on the first day, 25 kilometers on the second day, and more on the third day 10 kilometers. How many kilometers does the road team build roads in three days?

A novel has 320 pages. On the first day, Li Hong read 1/8 of the whole book. On the second day, she read five pages less than on the first day. How many pages are left to read?

In class 3.6 (1), 1/5 students took part in the cleaning, and then two students took the initiative to participate, but the actual number of participants did not 1/3. How many students took part in the cleaning?

There are three kinds of flowers in the greenhouse. The number of pots of Chinese rose flowers accounts for 12.5% of the total, jasmine flowers have 36 more pots than Chinese rose flowers, and the rest 12 pots are orchids. * * * How many potted flowers are there?

5. Wang Yang read a story book. On the first day, he read 1/5 of the total pages. The next day he read 15 fewer pages than the first day, and he just read 1/3 of the total pages in two days. How many pages have you read in two days?

6. The fruit shop delivered 3 baskets of apples and 2 baskets of pears. At that time, it sold 94 kilograms of apples and 2/3 baskets of pears; The remaining apples are as heavy as pears. It is known that each basket of apples weighs 54 kilograms, and how many kilograms does each basket of pears weigh?

7. A construction company sent 258 people to participate in the expansion project of Zhongzhou Road, among which the number of male workers was 10, more than 2/3 of the total number. Due to the needs of the project, some female workers were sent, accounting for 35% of the total number. How many women workers have been sent?

9. There are 98 students in Grade 5 in bright primary school. 110 Male students and three female students were selected to take part in the math competition held in the city, and the remaining male and female students were just equal. How many boys and girls are there in this grade?

10. There are 93 students in Class A and Class B. If 10% of the students are transferred from Class A to Class B, Class B will have 3 more students than Class A. How many students are there in Class A and Class B?

1 1. If 10 people are transferred from workshop A to workshop B, the number of people in workshop B is just 3/4 of that of workshop A. Given that there are 50 original workers in workshop B, how many original workers are there in workshop A?

12. The number of people absent from a class on a certain day is115 of the attendance, and the attendance is 42 more than the absence. How many students are there in this class?

13. Party A and Party B cooperate to produce a batch of color TV sets. Factory A started production for 6 days and completed 1/4 of the production plan. Then Factory A and Factory B cooperated for 6 days and completed all the tasks. It is known that the daily production of Factory B is 120 sets, and the total number of color TV sets is found.

14. The length of a cuboid is equal to the side length of a cube. It is known that the width of a cuboid is 2 and 1/3 decimeter, the height is 1.5 decimeter, and the volume is 10.5 cubic decimeter. What is the volume of a cuboid?